Question

two plane mirrors m1 and m2 are inclined each other at an angle of 45 deg. A light ray incident at m1 at the angle of 30 deg and after getting reflected from m2 makes an angle x with the incident ray as below. An angle x is... plz solve this question

Answer 1

Answer: 105°

Here, we will use the laws of reflection to solve the problem,

(i) The principle states that when the light rays falls on the smooth surface, the angle of reflection is equal to the angle of incidence.

(ii) the incident ray, the reflected ray, and the normal to the surface all lie in the same plane

Explanation: Here, light ray is inclined at 30° at m1, and gets reflected back making an angle 30° ,

So, it will make 60° with normal after striking on mirror m2, (by the law of sum of angle of triangle)

Hence, actual angle (x) is (180-(45 + 30))° = 105°

x= 105°